Actuarial Notes

SOA Exam FM Sample Question 252

Study guide: Exam FM-2

Fund X accumulates at a force of interest of \delta_t = \dfrac{2}{1+2t}, where t is measured in years, 0 \le t \le 20. Fund Y accumulates at an annual effective interest rate of i. An amount of 1 is invested in each fund at time t = 0. After 20 years, Fund X has the same value as Fund Y.

Calculate the value of Fund Y after five years.

  • A) 2.46
  • B) 2.53
  • C) 2.60
  • D) 2.67
  • E) 2.74

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